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Ms-Brains

  • one year ago

Help with a study guide question, i will give best response. (Attached file.) Please Help me! I'm study for a big test

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  1. Ms-Brains
    • one year ago
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  2. freckles
    • one year ago
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    apply distributive property where possible distributive property says a(b+c) is equal to ab+ac I see you have 3(x-y) apply distributive property there

  3. freckles
    • one year ago
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    you can tell me what you get when you apply distributive property to 3(x-y)?

  4. Ms-Brains
    • one year ago
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    3xy? or 3(y-x) p Idk how to do the distributive property

  5. freckles
    • one year ago
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    you do see distributive property is a(b+c)=ab+ac we are taking the outer number and multiplying it to both terms inside the ( )?

  6. freckles
    • one year ago
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    example 6(2+7) is the same as 6*2+6*7 though we didn't need distributive property here because we know what 2+7 is... 6(2+7)=6(9)=54 but we see we get the same number using the distributive property 6(2+7)=6*2+6*7=12+42=54

  7. freckles
    • one year ago
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    here we can't do y take away x because we don't know what x and y are so you have to apply distributive property here where you have 3(x-y)

  8. freckles
    • one year ago
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    3(x-y) is the same as 3x-3y

  9. freckles
    • one year ago
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    \[3x+4y+3(x-y)-4x \\ 3x+4y+3x-3y-4x\]

  10. freckles
    • one year ago
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    now using that addition is commutative to place like terms together

  11. freckles
    • one year ago
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    commutative property is just changing the order

  12. Ms-Brains
    • one year ago
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    so for the first slot it's written like 3x+4y+3x-3y-4y = Distributive property??

  13. freckles
    • one year ago
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    almost

  14. freckles
    • one year ago
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    you want to leave that last term as it was we didn't do anything to it

  15. Ms-Brains
    • one year ago
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    Umm, how do you write exactly? I'm a little lost on what your saying...sorry

  16. freckles
    • one year ago
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    should be 3x+4y+3x-3y-4x by use of the distributive property

  17. freckles
    • one year ago
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    -4x doesn't just turn into -4y

  18. Ms-Brains
    • one year ago
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    Oh! I got it! Okay give me a sec to write it, and then we can move to the next slot?

  19. Ms-Brains
    • one year ago
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    I got it! so next one?

  20. freckles
    • one year ago
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    have you tried changing the order to put like terms together yet? that was what I suggested above.... I also gave the name of this property too. :) You try it and I will check it.

  21. Ms-Brains
    • one year ago
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    Wait, what do you want me to do?

  22. freckles
    • one year ago
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    change the order so like terms are together

  23. freckles
    • one year ago
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    like terms are terms with the same variable part

  24. freckles
    • one year ago
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    you should see three terms that have the common variable x you should see two terms that have the common variable y

  25. freckles
    • one year ago
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    put all your x terms together and put all your y terms together

  26. Ms-Brains
    • one year ago
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    10x +7y Like that?

  27. Ms-Brains
    • one year ago
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    @freckles

  28. freckles
    • one year ago
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    like if I had a+a+b+a+b-4a reorder so that like terms are together a+a+a-4a+b+b

  29. Ms-Brains
    • one year ago
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    3x+3x+4x=10x 4y+3y=7

  30. Ms-Brains
    • one year ago
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    ^^ That?

  31. freckles
    • one year ago
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    you shouldn't change the sign in front of the term you had 3x+4y+3x-3y-4x by commuative property we can write this as 3x+3x-4x+4y-3y

  32. Ms-Brains
    • one year ago
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    Oh... I was supposed to add all the X's in order, and all the y's after that?

  33. freckles
    • one year ago
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    Example: \[a+a+b+a+4(\frac{1}{4}b-a) \text{ given } \\ a+a+b+a+4 \cdot \frac{1}{4} b-4a \text{ by distributive property } \\ a+a+b+a+b-4a \text{ by simplification } \\ a+a+a-4a+b+b \text{ by commutative property } \\ (a+a+a-4a)+(b+b) \text{ by associative property } \\ a(1+1+1-4)+b(1+1) \text{ by distributive property } \\ a(-1)+b(2) \text{ by simplification } \\ -a+2b \text{ by commautive property }\]

  34. freckles
    • one year ago
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    anyways I be back I have thing

  35. Ms-Brains
    • one year ago
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    Wait you're leaving?! I thought you'd help me finish the problem??

  36. Ms-Brains
    • one year ago
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    @freckles COME BACK!!!!!

  37. Ms-Brains
    • one year ago
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    Math tease.

  38. freckles
    • one year ago
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    Sorry. I had something come up. Anyways I hoped the example helped.

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